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Finding the Third Proportional to 32,255.06 and 47,434.13

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Solution

The third proportional to 32,255.06 and 47,434.13 is: 69,756.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,255.06 : 47,434.13 = 47,434.13 : x
  2. Step 2: Convert to fraction form
    32,255.06/47,434.13 = 47,434.13/x
  3. Step 3: Cross multiply
    32,255.06x = 47,434.13 × 47,434.13
  4. Step 4: Simplify right side
    32,255.06x = 2,249,996,214.52
  5. Step 5: Solve for x
    x = 2,249,996,214.52/32,255.06
  6. Step 6: Final answer
    x = 69,756.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.